# NCERT Solutions For Class 11 Maths

## NCERT Solutions for Class 11 Maths – Chapter-wise PDF Download

## Get detailed solutions for Class 11 Maths here

Are you a student of Class 11 and looking for NCERT maths solutions?

If you are searching for the complete solutions to your Maths NCERT Book, your search ends here! We provide you with solutions that will help you understand the underlying concept in each question. **NCERT Solutions for Class 11 Maths** is a complete resource that allows students to properly understand the Class 11 NCERT questions. Here on our website, we provide the Best online tutors with experts who help students understand the concepts of each topic, and they will also help you solve your queries and doubts. Find subject-wise NCERT Solutions for class 11 prepared by HT experts.

We have a team of Maths Subject matter experts for class 11 who have designed all these NCERT solutions to give students the most accurate, easy-to-understand, step-by-step answer.

While you solve your NCERT Book on your own, you may face some difficulties while solving questions, and you must be curious about the accuracy of your answers.

Here comes the platform's role that provides you with the questions with the best explanation and accuracy so that you don't have to face any difficulty while dealing with numerous questions in your NCERT Book.

- Chapter 1 Sets
- Chapter 2 Relations and Functions
- Chapter 3 Trigonometric Functions
- Chapter 4 Principle of Mathematical Induction
- Chapter 5 Complex Numbers and Quadratic Equations
- Chapter 6 Linear Inequalities
- Chapter 7 Permutations and Combinations
- Chapter 8 Binomial Theorem
- Chapter 9 Sequences and Series
- Chapter 10 Straight lines
- Chapter 11 Conic Sections
- Chapter 12 Introduction to Three-Dimensional Geometry
- Chapter 13 Limits and Derivatives
- Chapter 14 Mathematical Reasoning
- Chapter 15 Statistics
- Chapter 16 Probability

## Class 11 Maths NCERT Textbooks Chapters – Free PDF Download

### Here are Chapter Wise NCERT Solutions for Class 11 Maths

Here, we provide the complete chapter-wise NCERT Solutions for Class 11 Maths. Keeping in mind the language barrier, we have provided these solutions in two languages: English and Hindi.

### NCERT Solutions Class 11 Maths Chapters-wise List

- Chapter 1 Sets
- Chapter 2 Relations and Functions
- Chapter 3 Trigonometric Functions
- Chapter 4 Principle of Mathematical Induction
- Chapter 5 Complex Numbers and Quadratic Equations
- Chapter 6 Linear Inequalities
- Chapter 7 Permutations and Combinations
- Chapter 8 Binomial Theorem
- Chapter 9 Sequences and Series
- Chapter 10 Straight lines
- Chapter 11 Conic Sections
- Chapter 12 Introduction to Three Dimensional Geometry
- Chapter 13 Limits and Derivatives
- Chapter 14 Mathematical Reasoning
- Chapter 15 Statistics
- Chapter 16 Probability

**Chapter-wise brief introduction to NCERT solutions for class 11 Maths**

### NCERT Solutions for Class 11 Maths Chapter 1 Sets

Sets are collections of well-defined objects and are usually denoted by capital letters. The symbols and concepts used in sets are very important in basic mathematics which is used in most topics of mathematics. The concept of sets is fundamental in modern mathematics. The concept of sets is used in different branches of mathematics. Practical application of sets is also used in chapters like geometry, laboratory, and sequence and series. Without learning the concept of sets, we cannot imagine learning about relation and function which are the basics of differential calculus. Also, set theory is the foundation of many aspects of Computer System Engineering such as Binary logic gates, the selection is programming, etc.

### NCERT Solutions for Class 11 Maths Chapter 2 Relation & Function

This chapter deals with linking a pair of elements from two sets and then introduce relations between the two elements in the pair. Relations are good for understanding how variables behave together.

Finally, we will learn about the function which is a special type of relationship where there is an angled output for any combination of given inputs hence we can say that for a relationship to be a function, each input must have one and only one output.

Before solving the linear and non-linear equations, one must develop a proper understanding of the difference between relation and function.

### NCERT Solutions for Class 11 Maths Chapter 3 Trigonometry Function

The word ‘trigonometry’ is derived from the Greek word ‘trigon’ and ‘matron’ which means measuring the sides of a triangle. Hence, we can define trigonometry as calculations with triangles involved in the study of lengths, heights, and angles.

Trigonometry is one of the most important branches of mathematics as it is widely used in architecture, engineering, and many sciences

In this chapter, we will generalize the concept of trigonometric ratios and trigonometric functions and study their properties.

The concept of a trigonometric function is very important in many chapters of CBSE as it is used in almost every chapter such that coordinate geometry, and calculus. Algebra, Heights, and Distance.

### NCERT Solutions for Class 11 Maths Chapter 4 Mathematical Induction

Mathematical Induction is one of the techniques which can be used to prove the variety of mathematical theorems, statements, or formulas in terms of n where n is a natural number.

In this chapter to prove any formula first we assume a statement P(n),n N is true and with the help of this statement, we prove that P(n + 1) is also true.

Mathematical Induction is also a powerful tool in writing the algorithms recursively.

### NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers & Quadratic Equation

In earlier classes, we have studied the concept of roots of the quadrate equation where we use a square of the root of the determinant (D) which gives real values for non-negative real numbers. Here we introduce a complex number when the discriminant is a negative real number, and we must find the square root of that. Hence complex number is mainly used for the square root of negative real numbers.

The use of complex numbers occurs in the study of quantum physics, mainly useful for modelling periodic motions, as well as alternating currents.

A quadratic equation is used in almost every chapter of mathematics and is mainly used in solving sums of algebra.

### NCERT Solutions for Class 11 Maths Chapter 6 Linear Inequalities

In linear inequalities, two linear expressions or one linear expression and one constant is compared using inequality symbols.

All the operations of linear equations and linear inequality are almost the only difference is that in a can of inequality, when we divide both sides by a negative number, the sign of inequality changes.

In this chapter, we will study the linear inequalities in one and two variables.

The study of linear inequalities is very useful in maximizing or minimizing a product under some given constraints.

### NCERT Solutions for Class 11 Maths Chapter 7 Permutation and Combination

The study of permutations and combinations is the method of counting.

The permutation is used to find the number of different ways of arranging the objects out of a given number of objects without listing them.

The combination is used basically to find the number of methods of selection of objects out of a given number of objects without listing them.

In this chapter, we will learn some basic techniques for finding several methods of arrangement and selection of objects.

Concepts of permutation and combination are mainly used in probability and computer science.

### NCERT Solutions for Class 11 Maths Chapter 8 Binomial Theorem

Binomial expression is the sum of two terms. The binomial theorem is mainly used to find the expansion of the positive integral index of binomial expression. Using this further we can find the expansion for negative index and rational numbers also. Coefficients of terms in the expansion are called binomial coefficients.

The concept of the binomial theorem will be used in the chapter on permutation and combination, probability, etc. The binomial theorem is also used in statistical and probability analyses.

### NCERT Solutions for Class 11 Maths Chapter 9 Sequence and Series

Sequence means a collection of objects in order in such a way that it follows a particular pattern or definition. Series is the sum of terms of the sequence.

In this chapter, we will study mainly A. P., G. P., Arithmetic mean, geometric mean, and the relationship between them, special series is a form of n terms of consecutive natural numbers, sum to n terms of the square of natural numbers, and sum to n terms of cubes of natural numbers. Sequences are used in algorithms and programming.

### NCERT Solutions for Class 11 Maths Chapter 10 Straight Lines

In this chapter, we will study about properties of the simplest geometric figure, a straight line.

To determine any straight line, we need at least one point and slope (direction) of the line.

Concepts and formulas of the straight line will be used in whole coordinate geometry including the chapter conic section.

The concept and graph of the straight line are used in research on light travel, construction of roads, etc.

### NCERT Solutions for Class 11 Maths Chapter 11 Conic Section

In the conic section, we mainly study curves Circle, Parabola, Ellipse, and Hyperbola.

These curves are called conic sections because they are obtained by the intersection of a plane with a double-napped right circular cone. Conic sections are also represented by a general equation of second degree in x and y under some conditions Concept and theorem of circles are widely used in geometry.

Conic sections are widely used in planetary motion, design of telescopes and antennae, and reflection in flashlights and automobile headlights.

### NCERT Solutions for Class 11 Maths Chapter 12 Introduction to Three-Dimensional Geometry

In this chapter, we will study the basic concept of geometry in three-dimensional space which includes the cartesian coordinate system, distance formula, section formula, and coordinate of a point in

3-dimensional space. In 3-dimensional geometry, coordinates are written concerning three axes, x-axis, y-axis, and z-axis which are perpendicular to each other. Many concepts of three-dimensional geometry are like two-dimensional geometry.

Three-dimensional geometry is used in computer graphics, contribution to building design, etc.

### NCERT Solutions for Class 11 Maths Chapter 13 Limit and Derivatives

This chapter is a basic introduction to calculus. If a function is not defined at some point then to find the behaviours of function or graph or function in the neighbourhood of that part, we use limiting value.

The derivative is the rate of change of a function concerning the time at some instant.

In this chapter first, we study the intuitive idea of derivatives without defining them and then the definition and algebra of limits. Again, we come back to the definition of derivative and its algebra.

The concept of limits and derivatives is very important to learn the whole calculus.

### NCERT Solutions for Class 11 Maths Chapter 14 Mathematical Reasoning

In this chapter, we will study the basic idea of mathematical reasoning.

In mathematical language, there are two types of reasoning – Inductive and deductive. In this chapter, we will study the fundamentals of deductive reasoning

In mathematical reasoning, the basic unit involved is a mathematical statement. A statement is a sentence that is either true or false but not simultaneously we can say that mathematical reasoning is a part of mathematics where we determine the truth values of the given statements.

### NCERT Solutions for Class 11 Maths Chapter 15 Statistics

Statistics deals with the collection of and classification of data and then the decision is made about the data by analyzing and interpreting it.

In this chapter, we mainly study the measure of dispersion. The types of measures of dispersion are range, mean deviation, variance, and standard deviation.

The measure of dispersion mainly denotes the variability.

We will learn the measure of dispersion for grouped and ungrouped data.

Statistical analysis is mainly used for designing chemical trials in a medical study

### NCERT Solutions for Class 11 Maths Chapter 16 Probability

In general, probability is the chance of occurrence of an event. Probability is defined as a quantitative measure of uncertainty. The value of probability always lies between 0 and 1 including 0 and 1.

If the probability of an event is o then it is an impossible event in this case chances of occurrence of an event are very less and if the probability of an event is 1 then it is a sure event and in this case probability of occurrence, an event is very high.

There is a lot of usage of probability in real life such as in weather forecasting, clinical estimate, making business plans, sports etc.

### Benefits of NCERT Solutions

Do you want to excel in Mathematics in class 11? Do you want to get overall good marks in your final examinations? If your answer is Yes, you need to work hard on your goals, and we are here to help you with the same!

We provide you with the NCERT Book solutions for class 11 Maths. It will help you save your time searching for the answer to any particular question on numerous platforms. We provide the best-detailed solutions to help you thoroughly prepare for your exams.

You can score well in your Class 11 school exams and entrance exams if you prepare well from the detailed solutions provided by our expert team!

### CBSE Class 11 Maths Academic Resources 2023-24

Class 11 Maths NCERT Solutions | Questions | MCQs |
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### Chapter Wise Solutions - Download Free PDF

#### Related Links

- Chapter 1 Sets
- Chapter 2 Relations and Functions
- Chapter 3 Trigonometric Functions
- Chapter 4 Principle of Mathematical Induction
- Chapter 5 Complex Numbers and Quadratic Equations
- Chapter 6 Linear Inequalities
- Chapter 7 Permutations and Combinations
- Chapter 8 Binomial Theorem
- Chapter 9 Sequences and Series
- Chapter 10 Straight lines
- Chapter 11 Conic Sections
- Chapter 12 Introduction to Three-Dimensional Geometry
- Chapter 13 Limits and Derivatives
- Chapter 14 Mathematical Reasoning
- Chapter 15 Statistics
- Chapter 16 Probability

## Frequently Asked Questions on NCERT Solutions For Class 11 Maths

We provide you with the complete solution of all the 16 chapters of class 11 NCERT Maths in both languages.

At Home-Tuitions.com, we have provided the complete NCERT Solution for Class 11 Maths in PDF form in both languages. You can download these solutions in your language.

In a word, Yes. NCERT books with NCERT Solutions are more than enough for 11 maths. NCERT books and NCERT Solutions are the best resources to clear your basic understanding of Class 11th maths. These books will help you in the class 11 school examination and are helpful in entrance exams like JEE.

- Clear your doubt first: Students tend to avoid those concepts which they find hard to understand. Don’t skip these topics.
- Manage your time: Most of the students waste their time solving one complex question. As a result, they do not have time to solve other questions. So allow some time for one question. If it’s taking more than that, move to the other question.
- Practice makes perfect: Solve all the solved and unsolved problems given in the NCERT book and take help from reference books to solve more and more questions.